A reversionary annuity provides payments of 100 at the beginning of each month during the lifetime of

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A reversionary annuity provides payments of 100 at the beginning of each month during the lifetime of Brown, aged 60, after the death of Smith, aged 65. You are given the following values from a life table which follows Makeham's law:

X 4'^^ .(12)

60 10.5 8.8 61 10.2 8.5 62 10.0 8.2 63 9.8 8.0 64 9.6 7.8 65 9.3 7.5 You are also given the following values from a table of uniform seniority.

Difference Addition to in Ages Younger Age 1 0.5 2 1.0 3 1.6 4 2.2 5 2.8 Find the net single premium for this annuity.

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